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Finding the Fourth Proportional to 4,126.56, 6,189.72 and 1,530

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Solution

The fourth proportional to 4,126.56, 6,189.72 and 1,530 is: 2,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126.56 : 6,189.72 = 1,530 : x
  2. Step 2: Convert to fraction form
    4,126.56/6,189.72 = 1,530/x
  3. Step 3: Cross multiply
    4,126.56x = 6,189.72 × 1,530
  4. Step 4: Simplify right side
    4,126.56x = 9,470,271.60
  5. Step 5: Solve for x
    x = 9,470,271.60/4,126.56
  6. Step 6: Final answer
    x = 2,294.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.